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Finding the Third Proportional to 61,412 and 132,220

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Solution

The third proportional to 61,412 and 132,220 is: 284,669.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,412 : 132,220 = 132,220 : x
  2. Step 2: Convert to fraction form
    61,412/132,220 = 132,220/x
  3. Step 3: Cross multiply
    61,412x = 132,220 × 132,220
  4. Step 4: Simplify right side
    61,412x = 17,482,128,400
  5. Step 5: Solve for x
    x = 17,482,128,400/61,412
  6. Step 6: Final answer
    x = 284,669.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.